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weqwewe [10]
3 years ago
11

Abigail colors 80% of the total shapes on her paper. She colors 36 shapes. Enter the number of shapes on Abigail's paper.

Mathematics
1 answer:
mestny [16]3 years ago
3 0

Answer:

Step-by-step explanation:

We can set up the following equation:

\frac{80}{100} = \frac{36}{N}

where N is the total number of shapes on Abigail's paper.

Let's first multiply both sides by N:

\frac{80N}{100} = 36

Next, let's multiply both sides by 100:

80N = 3600

Finally, let's divide both sides by 80:

N = 45

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Write the word sentence as an inequality. Then solve the inequality. The quotient of a number x and 4 is at most 5.
Charra [1.4K]

Answer:

Given the statement: The quotient of a number x and 4 is atmost 5.

Let x be a number.

"quotient of a number x and 4" represented as \frac{x}{4}

"at most" means '\leq'

Therefore, the inequality for the given statement is;

\frac{x}{4}\leq 5

Solve the above inequality:

\frac{x}{4}\leq 5

multiply both sides by 4 we get;

4 \times \frac{x}{4} \leq 4 \times 5

Simplify:

x\leq 20

Therefore, the solutions for the given inequality is:  (-\infty , 20]

8 0
3 years ago
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Answer:

24,748

Step-by-step explanation:

538

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3 years ago
A walking path across a park is represented by the equation y= -4x - 6 . A new path will be built perpendicular to this path. Th
frosja888 [35]

Answer:

y=1/4 x +11

Step-by-step explanation:

So this is a word problem but it isn't too bad to figure what they want:  They are looking for a line that is perpendicular to y=-4x-6 and goes through (-4,10).

So we are looking for an equation whose slope is the opposite reciprocal of the given equation's slope.

The given equation has a slope of -4

The opposite reciprocal of -4 is 1/4 so that is the slope of our new line.

So we know our equation is in the form of y=1/4 x+b

Now we are given that this line should go through (-4,10) so plug it in to find b.

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So the equation is y=1/4 x+11

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Assoli18 [71]

Answer:

hope this helps!

Step-by-step explanation:

From y(t) = −16t^2 − 3t + 300 find at what time the fertilizer hits the ground (has height 0)

0 = −16t^2 − 3t + 300

Using the quadratic formula (minus b plus or minus the square root of b squared minus 2 a c over 2 a) you get

t = 4.237 seconds

So the horizontal distance is 85t = 85 * 4.237 = 360.145 feet

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3 years ago
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saveliy_v [14]

Answer:

n > -6 and n < 8! Heart it if it was helpful :D

Step-by-step explanation:

Okay! So n has to be bigger than -6, but smaller than 8. So the inequalities are n > -6 and n < 8!

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